Black Hole Thermodynamics and Geometry
In the previous section we have seen that, in the context of nV -fold, N = 2, d = 4 MESGT, the fundamental properties of 4-d extreme BHs may be described by the “BH effective potential” function V (z, z; p, q), and in particular by its critical points in the moduli space M z , z , which is endowed with a (regular) special Kähler geometry. New insights can be gained by considering the formalism of the geometric approach to the thermodynamical fluctuation theory. Once again, we will mainly follow Ferrara, Gibbons, and Kallosh  (for a complete review, see, e.g., ).
KeywordsModulus Space Black Hole Thermodynamic Intensive Variable Schwarz Lemma Extensive Charge
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